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Finding the Fourth Proportional to 947.24, 1,417.82 and 507.39

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Solution

The fourth proportional to 947.24, 1,417.82 and 507.39 is: 759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.24 : 1,417.82 = 507.39 : x
  2. Step 2: Convert to fraction form
    947.24/1,417.82 = 507.39/x
  3. Step 3: Cross multiply
    947.24x = 1,417.82 × 507.39
  4. Step 4: Simplify right side
    947.24x = 719,387.69
  5. Step 5: Solve for x
    x = 719,387.69/947.24
  6. Step 6: Final answer
    x = 759.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.